TSTP Solution File: NUM785^1 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : NUM785^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n105.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 13:11:44 EST 2018

% Result   : Theorem 2.78s
% Output   : Proof 2.78s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM785^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04  % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.26  % Computer : n105.star.cs.uiowa.edu
% 0.03/0.26  % Model    : x86_64 x86_64
% 0.03/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26  % Memory   : 32218.625MB
% 0.03/0.26  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.26  % CPULimit : 300
% 0.03/0.26  % DateTime : Fri Jan  5 14:12:04 CST 2018
% 0.03/0.26  % CPUTime  : 
% 0.07/0.29  Python 2.7.13
% 2.78/3.22  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 2.78/3.22  FOF formula (<kernel.Constant object at 0x2b7a42c98320>, <kernel.Type object at 0x2b7a4221cd40>) of role type named rat_type
% 2.78/3.22  Using role type
% 2.78/3.22  Declaring rat:Type
% 2.78/3.22  FOF formula (<kernel.Constant object at 0x2b7a425cb830>, <kernel.Constant object at 0x2b7a4221c638>) of role type named x0
% 2.78/3.22  Using role type
% 2.78/3.22  Declaring x0:rat
% 2.78/3.22  FOF formula (<kernel.Constant object at 0x2b7a42c987e8>, <kernel.Constant object at 0x2b7a4221c290>) of role type named y0
% 2.78/3.22  Using role type
% 2.78/3.22  Declaring y0:rat
% 2.78/3.22  FOF formula (<kernel.Constant object at 0x2b7a42c98320>, <kernel.DependentProduct object at 0x2b7a4221c638>) of role type named less
% 2.78/3.22  Using role type
% 2.78/3.22  Declaring less:(rat->(rat->Prop))
% 2.78/3.22  FOF formula (<kernel.Constant object at 0x2b7a42c98320>, <kernel.DependentProduct object at 0x2b7a4221cef0>) of role type named is
% 2.78/3.22  Using role type
% 2.78/3.22  Declaring is:(rat->(rat->Prop))
% 2.78/3.22  FOF formula ((((less x0) y0)->False)->((is x0) y0)) of role axiom named l
% 2.78/3.22  A new axiom: ((((less x0) y0)->False)->((is x0) y0))
% 2.78/3.22  FOF formula (<kernel.Constant object at 0x2b7a4221c5a8>, <kernel.DependentProduct object at 0x2b7a4221cf38>) of role type named more
% 2.78/3.22  Using role type
% 2.78/3.22  Declaring more:(rat->(rat->Prop))
% 2.78/3.22  FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 2.78/3.22  A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 2.78/3.22  FOF formula (forall (Xx0:rat) (Xy0:rat), (((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))->False)) of role axiom named satz81b
% 2.78/3.22  A new axiom: (forall (Xx0:rat) (Xy0:rat), (((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))->False))
% 2.78/3.22  FOF formula (((more x0) y0)->False) of role conjecture named satz81d
% 2.78/3.22  Conjecture to prove = (((more x0) y0)->False):Prop
% 2.78/3.22  We need to prove ['(((more x0) y0)->False)']
% 2.78/3.22  Parameter rat:Type.
% 2.78/3.22  Parameter x0:rat.
% 2.78/3.22  Parameter y0:rat.
% 2.78/3.22  Parameter less:(rat->(rat->Prop)).
% 2.78/3.22  Parameter is:(rat->(rat->Prop)).
% 2.78/3.22  Axiom l:((((less x0) y0)->False)->((is x0) y0)).
% 2.78/3.22  Parameter more:(rat->(rat->Prop)).
% 2.78/3.22  Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 2.78/3.22  Axiom satz81b:(forall (Xx0:rat) (Xy0:rat), (((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))->False)).
% 2.78/3.22  Trying to prove (((more x0) y0)->False)
% 2.78/3.22  Found x:((more x0) y0)
% 2.78/3.22  Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.78/3.22  Found x as proof of ((more Xx0) Xy0)
% 2.78/3.22  Found x:((more x0) y0)
% 2.78/3.22  Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.78/3.22  Found x as proof of ((more Xx0) Xy0)
% 2.78/3.22  Found x:((more x0) y0)
% 2.78/3.22  Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.78/3.22  Found x as proof of ((more Xx0) Xy0)
% 2.78/3.22  Found x:((more x0) y0)
% 2.78/3.22  Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.78/3.22  Found x as proof of ((more Xx0) Xy0)
% 2.78/3.22  Found x:((more x0) y0)
% 2.78/3.22  Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.78/3.22  Found x as proof of ((more Xx0) Xy0)
% 2.78/3.22  Found x:((more x0) y0)
% 2.78/3.22  Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.78/3.22  Found x as proof of ((more Xx0) Xy0)
% 2.78/3.22  Found x:((more x0) y0)
% 2.78/3.22  Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.78/3.22  Found x as proof of ((more Xx0) Xy0)
% 2.78/3.22  Found x30:=(x3 x):(((less Xx0) Xy0)->False)
% 2.78/3.22  Found (x3 x) as proof of (((less x0) y0)->False)
% 2.78/3.22  Found (x3 x) as proof of (((less x0) y0)->False)
% 2.78/3.22  Found (l (x3 x)) as proof of ((is Xx0) Xy0)
% 2.78/3.22  Found (l (x3 x)) as proof of ((is Xx0) Xy0)
% 2.78/3.22  Found ((x1 (l (x3 x))) x) as proof of False
% 2.78/3.22  Found (fun (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x)) as proof of False
% 2.78/3.22  Found (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x)) as proof of ((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False)
% 2.78/3.22  Found (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x)) as proof of ((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))
% 2.78/3.22  Found (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x))) as proof of False
% 2.78/3.26  Found (fun (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x)))) as proof of False
% 2.78/3.26  Found (fun (x1:(((is Xx0) Xy0)->(((more Xx0) Xy0)->False))) (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x)))) as proof of ((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False)
% 2.78/3.26  Found (fun (x1:(((is Xx0) Xy0)->(((more Xx0) Xy0)->False))) (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x)))) as proof of ((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))
% 2.78/3.26  Found (satz81b00 (fun (x1:(((is Xx0) Xy0)->(((more Xx0) Xy0)->False))) (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (l (x3 x))) x))))) as proof of False
% 2.78/3.26  Found ((satz81b0 y0) (fun (x1:(((is Xx0) y0)->(((more Xx0) y0)->False))) (x2:(((((more Xx0) y0)->(((less Xx0) y0)->False))->((((less Xx0) y0)->(((is Xx0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) y0)->(((less Xx0) y0)->False))) (x4:(((less Xx0) y0)->(((is Xx0) y0)->False)))=> ((x1 (l (x3 x))) x))))) as proof of False
% 2.78/3.26  Found (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (l (x3 x))) x))))) as proof of False
% 2.78/3.26  Found (fun (x:((more x0) y0))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (l (x3 x))) x)))))) as proof of False
% 2.78/3.26  Found (fun (x:((more x0) y0))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (l (x3 x))) x)))))) as proof of (((more x0) y0)->False)
% 2.78/3.26  Got proof (fun (x:((more x0) y0))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (l (x3 x))) x))))))
% 2.78/3.26  Time elapsed = 2.468045s
% 2.78/3.26  node=747 cost=929.000000 depth=16
% 2.78/3.26::::::::::::::::::::::
% 2.78/3.26  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.78/3.26  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.78/3.26  (fun (x:((more x0) y0))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (l (x3 x))) x))))))
% 2.78/3.26  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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